In a certain code language, ‘A # B’ means ‘A is the daughter of B’, ‘A % B’…

Concept: In a coded blood-relation puzzle, every symbol stands for one specific family relation (parent-child, sibling, or spousal). Decode the given code string one link at a time, left to right, then chain the individual relations into a single family tree - tracking each person's gender and generation as you go - before reading off how the two named people are related.

Application: Decoding the statement 'A ÷ D % G # K & M' step by step:

1. 'A ÷ D' means A is the wife of D.

2. 'D % G' means D is the brother of G.

3. 'G # K' means G is the daughter of K.

4. 'K & M' means K is the father of M.

5. Since D is the brother of G, and G is a child of K, D is also a child of K (a son, since 'brother' denotes a male sibling).

6. 'K & M' fixes K's gender as male (father) and adds M as another child of K, so D, G and M are all siblings, children of K.

7. A is the wife of D (step 1), and D is a sibling of M, so A is related to M as the spouse of M's sibling.

Cross-check: K is explicitly called a father (via 'K & M'), which is consistent with K being the parent in 'G # K' (a father can have a daughter). D is explicitly called a brother, so D is male, consistent with being a sibling of both G and M. A's only connection to M runs through her marriage to D, M's brother - not through direct parentage or marriage to M herself - which matches a 'brother's wife' relationship.